Is there an algorithm or program capable to find the volume resulting when a parallelepiped is intersected by an oblique plane?
What is most important, although, it's not specified in title is: given the resulting volume, it must be able to reverse the equations/algorithm to find the intersecting plane, wich is only specified by its normal vector
As a side note, it must be capable to run on iOS and Android devices, at an aceptable framerate when rendering at realtime on an interactive application
The following image depicts what is described above
Any help or comment is appreciated